A077566 Smallest number which can be factored into parts with distinct prime signatures in n different ways, or 0 if no such number exists.

1, 8, 12, 24, 60, 48, 72, 512, 96, 1024, 120, 144, 0, 0, 420, 2310, 240, 8192, 432, 0, 0, 768, 360, 0, 576, 480, 32768, 0, 0, 1536, 0, 864, 0, 0, 720, 1152, 0, 3072, 1080, 960, 0, 0, 1800, 0, 0, 262144, 0, 1728, 0, 6144, 2304, 1680, 0, 524288, 0, 0, 1920, 0, 4620, 0

Offset: 1

Author

Amarnath Murthy, Nov 11 2002

Keywords

• nonn

References

• Amarnath Murthy, Generalization of partition function, Introducing Smarandache Factor Partition, Smarandache Notions Journal, Vol. 11, 1-2-3, 2000.

Crossrefs

Cf. A077563, A077564, A077565.

Formula

Index of the first occurrence of n in A077565.

Extensions

Corrected and extended by Ray Chandler, Sep 07 2003